The English goalkeeper has attracted interest from Premier League outfits in the past few months but Lennon does not believe he will be leaving Celtic Park this month.
However, Lennon is bracing himself for the former Newcastle United gloveman to one day depart Glasgow.
"I am not expecting any bids to come in for him. If they do, they will be rejected," said Lennon.
"He isn't in a hurry to leave anyway. I wouldn't say he is nailed down for an England place but he is as good as.
"I don't think there is any need for him to go just now - although in the long term he will go."
For breaking stories and all the great banter like us on Facebook: facebook.com/tribalfootball